What is the Greatest Common Factor of 41295 and 41305?

Greatest common factor (GCF) of 41295 and 41305 is 5.

GCF(41295,41305) = 5

We will now calculate the prime factors of 41295 and 41305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41295 and 41305.

How to find the GCF of 41295 and 41305?

We will first find the prime factorization of 41295 and 41305. After we will calculate the factors of 41295 and 41305 and find the biggest common factor number .

Step-1: Prime Factorization of 41295

Prime factors of 41295 are 3, 5, 2753. Prime factorization of 41295 in exponential form is:

41295 = 3¹ × 5¹ × 2753¹

Step-2: Prime Factorization of 41305

Prime factors of 41305 are 5, 11, 751. Prime factorization of 41305 in exponential form is:

41305 = 5¹ × 11¹ × 751¹

Step-3: Factors of 41295

List of positive integer factors of 41295 that divides 41295 without a remainder.

1, 3, 5, 15, 2753, 8259, 13765

Step-4: Factors of 41305

List of positive integer factors of 41305 that divides 41295 without a remainder.

1, 5, 11, 55, 751, 3755, 8261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41295 and 41305. The biggest common factor number is the GCF number.
So the greatest common factor 41295 and 41305 is 5.

Also check out the Least Common Multiple of 41295 and 41305